Home
Class 12
PHYSICS
A string connected with bob is suspended...

A string connected with bob is suspended by the point (O) such that it sweeps out conical surface in horizontal plane. Here `vecr` is the position vector of bob `vecc` is its velocity and `vecz` is the axis of swept cone as shown. Select INCORRECT statement :-

A

`vecr.vecz` is always zero

B

`vecr.vecv` is always zero

C

`vecz.vecv` is always constant

D

`vecr.vecz` is always non zero constant

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (O-2) Multiple Correct Type Questions.|7 Videos
  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (O-2) Comprehension Type Questions.|9 Videos
  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (O-1) Matrix match type Questions.|2 Videos
  • TEST PAPERS

    ALLEN|Exercise MATHS|14 Videos
  • WAVE OPTICS

    ALLEN|Exercise Exercise 2 (Previous Year Questions)|7 Videos

Similar Questions

Explore conceptually related problems

A bob of mass m is suspended by a light string of length L. It is imparted a horizontal velocity v_(0) at the lowest point A such that it completes a semi-circular trajectory in the vertical plane with the string becoming slack on reaching the topmost point C, figure, Obtain an expression for (i) v_(0) (ii) the speeds at points B and C, (ii) the ration of kinetic energies (K_(B)//K_(C)) at B and C. Comment on the nature of the trajectory of the bob after it reahes the poing C.

A conical pendulum consists of a mass M suspended from a strong sling of length l . The mass executes a circle of radius R in a horizontal plane with speed v . At time t , the mass is at position Rhati and vhatj velocity. At time t the angular momentum vector of mass M about the point from which the string passes on the ceiling is

A bob of mass M is suspended by a massless string of length L. The horizontal velocity v at position A is just sufficient to make it reach the point B. The angle theta at which the speed of the bob is half of that at A, satisfies

A bob of mass 2kg is suspended from point O of a core with an inextensible string strinng of length sqrt(3)m . It is moving in horizontal circle over the surface of cone as shown in the figure. Then :(g=10m//s^(2))

A bob of mass 2kg is suspended from point O of a core with an inextensible string strinng of length sqrt(3)m . It is moving in horizontal circle over the surface of cone as shown in the figure. Then :(g=10m//s^(2))

A bob of mass m is attached at one end of a string of length l other end of the string is fixed at point O . Bob is rotating in a circular path of radius l in horizontal plane about O with constant speed v , as shown in the figure. The average force exterted by string on the bob during its :- (A) half revolution will be (mv^(2))/(pil) (B) half revolution will be (2mv^(2))/(pil) (C) one fourth revolution will be (sqrt2mv^(2))/(pil) (D) one revolution will be zero Select correct alternative :-

Two identical small balls, each of mass m , are connected by a massless and inextensible string of length l and placed on a smooth horizontal xy plane. An external agent pulling the string from its mid-point along y -axis with velocity v_(0) as shown in Fig. When the separation between the two balls reduces to l//2 then the speed of each ball will be

One end of a light string of length L is connected to a ball and the other end is connected to a fixed point O . The ball is released from rest at t = 0 with string horizontal and just taut. The ball then moves in vertical circular path as shown. The time taken by ball to go from position A to B is t_(1) and from B to lowest position C is t_(2) . Let the velocity of ball at B is vec v_(B) and at C is vec v_(C) respectively. If |vec v_(C)=2|vecv_(B)| then the value of theta as shown is

A disc shaped body (having a hole shown in the figure) of mass m=10kg and radius R=10/9m is performing pure rolling motion on a rough horizontal surface. In the figure point O is geometrical center of the disc and at this instant the centre of mass C of the disc is at same horizontal level with O . The radius of gyration of the disc about an axis pasing through C and perpendicular to the plane of the disc is R/2 and at the insant shown the angular velocity of the disc is omega=sqrt(g/R) rad/sec in clockwise sence. g is gravitation acceleration =10m//s^(2) . Find angular acceleation alpha ( in rad//s^(2) ) of the disc at this instant.

A bob in tied to a string of length l & and kept on a horizontal rough surface as shown in the figure when point O of the string is fixed. The bob is given a tangential velocity V_(0) keeping the string taut as shown in figure. Find the tension in the string as a function of time. The coefficient of kinetic friction is mu .

ALLEN-UNIT & DIMENSIONS, BASIC MATHS AND VECTOR -Exercise (O-2) Single Correct Type Questions.
  1. In a certain system of units, 1 unit of time is 5 sec, 1 unit of mass ...

    Text Solution

    |

  2. If the unit of length be doubled then the numerical value of the unive...

    Text Solution

    |

  3. If in a system, the force of attraction between two point masses of 1 ...

    Text Solution

    |

  4. In two different system of unit an acceleration is represented by the ...

    Text Solution

    |

  5. Assertion: When we change the unit of measurement of a quantity, its n...

    Text Solution

    |

  6. Force proportional to AB, BC and 2CA act along the sides of triangle A...

    Text Solution

    |

  7. A man rows a boat with a speed of 18 km/hr in northwest direction. The...

    Text Solution

    |

  8. Statement 1: Unit vector has a unit though its magnitude is one and...

    Text Solution

    |

  9. A plumber steps down 1 m out of his truck and walks 50m east and then ...

    Text Solution

    |

  10. A body moves in anticlockwise direction on a circular path in the x-y ...

    Text Solution

    |

  11. A body A is standing 20sqrt(3) m away in a direction 30^(@) north of e...

    Text Solution

    |

  12. Find the component of vecr in the directioln of veca :-

    Text Solution

    |

  13. Consider three vectors A=hati +hatj-2hatk, B=hati +hatj+2hatk and 2h...

    Text Solution

    |

  14. A string connected with bob is suspended by the point (O) such that it...

    Text Solution

    |

  15. x- component of a vector vecA is twice of its y-component and sqrt(2) ...

    Text Solution

    |

  16. Given the vector vecA=2hati+3hatj-hatk, vecB=3hati-2hatj-2hatk & vecC=...

    Text Solution

    |